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2201121078 = 23131012711031
BaseRepresentation
bin1000001100110010…
…0111000100110110
312200101210112110220
42003030213010312
514001441333303
61002225355210
7105355135422
oct20314470466
95611715426
102201121078
11a2a525932
12515198b06
13291034a10
1416c48db82
15cd38e053
hex83327136

2201121078 has 64 divisors (see below), whose sum is σ = 4810143744. Its totient is φ = 667440000.

The previous prime is 2201121077. The next prime is 2201121103. The reversal of 2201121078 is 8701211022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201121071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2134423 + ... + 2135453.

It is an arithmetic number, because the mean of its divisors is an integer number (75158496).

Almost surely, 22201121078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201121078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405071872).

2201121078 is an abundant number, since it is smaller than the sum of its proper divisors (2609022666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2201121078 is a wasteful number, since it uses less digits than its factorization.

2201121078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 2201121078 is about 46916.1068077904. The cubic root of 2201121078 is about 1300.8123281939.

The spelling of 2201121078 in words is "two billion, two hundred one million, one hundred twenty-one thousand, seventy-eight".

Divisors: 1 2 3 6 13 26 39 78 101 202 271 303 542 606 813 1031 1313 1626 2062 2626 3093 3523 3939 6186 7046 7878 10569 13403 21138 26806 27371 40209 54742 80418 82113 104131 164226 208262 279401 312393 355823 558802 624786 711646 838203 1067469 1353703 1676406 2134938 2707406 3632213 4061109 7264426 8122218 10896639 21793278 28219501 56439002 84658503 169317006 366853513 733707026 1100560539 2201121078